Least Common Multiple of 6861 and 6869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6861 and 6869 the smallest integer that is 47128209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6861 and 6869 is 47128209.

LCM(6861,6869) = 47128209

LCM of 6861 and 6869

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6861 and 6869

LCM of 6861 and 6869 is 47128209

Least common multiple can be found by multiplying the highest exponent prime factors of 6861 and 6869. First we will calculate the prime factors of 6861 and 6869.

Prime Factorization of 6861


3 6861
2287 2287
1

Prime factors of 6861 are 3,2287. Prime factorization of 6861 in exponential form is:

6861 = 31×22871

Prime Factorization of 6869


6869 6869
1

Prime factors of 6869 are 6869. Prime factorization of 6869 in exponential form is:

6869 = 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 6861 and 6869.

LCM(6861,6869) = 31×22871×68691
LCM(6861,6869) = 47128209

Factors of 6861

List of positive integer factors of 6861 that divides 6861 without a remainder.

1, 3, 2287, 6861

Factors of 6869

List of positive integer factors of 6869 that divides 6869 without a remainder.

1, 6869

Least Common Multiple of 6861 and 6869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6861 and 6869, than apply into the LCM equation.

GCF(6861,6869) = 1
LCM(6861,6869) = ( 6861 × 6869) / 1
LCM(6861,6869) = 47128209 / 1
LCM(6861,6869) = 47128209

Properties of LCM 6861 and 6869

(i) The LCM of 6869 and 6861 is associative

LCM of 6861 and 6869 = LCM of 6869 and 6861

Related Least Common Multiples of 6861

Related Least Common Multiples of 6869

Frequently Asked Questions on LCM of 6861 and 6869

1. What is the LCM of 6861 and 6869?

Answer: LCM of 6861 and 6869 is 47128209.

2. What are the Factors of 6861?

Answer: Factors of 6861 are 1, 3, 2287, 6861. There are 4 integers that are factors of 6861. The greatest factor of 6861 is 6861.

3. What are the Factors of 6869?

Answer: Factors of 6869 are 1, 6869. There are 2 integers that are factors of 6869. The greatest factor of 6869 is 6869.

4. How to Find the LCM of 6861 and 6869?

Answer:

Least Common Multiple of 6861 and 6869 = 47128209

Step 1: Find the prime factorization of 6861

6861 = 3 x 2287

Step 2: Find the prime factorization of 6869

6869 = 6869

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 47128209 = 3 x 2287 x 6869

Step 4: Therefore, the least common multiple of 6861 and 6869 is 47128209.